The rank of the matrix  where a = b ≠ c is:

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Answer (Detailed Solution Below)

Option 3 : 2
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Concept:

The number of non-zero rows or columns defined as the rank of the matrix.

Given:  

a = b ≠ c 

Calculation:

e =  

Put b = a in the above matrix

e = 

Perform C1 = C1 - C2

e = 

So from the above number of non-zero columns = 2

Hence, Rank of the matrix = 2

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